GCF of 6580/545, 3145/4977
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6580/545, 3145/4977 i.e 5/2712465 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6580/545, 3145/4977.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 6580/545,3145/4977?
Given fractions are 6580/545,3145/4977
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 6580/545,3145/4977, numerators are 6580,3145
Denominators are 545,4977
The GCF of 6580,3145 is 5 .
LCM of 545,4977 is 2712465.
The greatest common factor of 6580/545,3145/4977 = [GCF of 6580,3145]/[LCM of 545,4977]= 5/2712465
Therefore, the GCF of 6580/545,3145/4977 is 5/2712465.
To find the highest common factor of 6580,3145, we have to find the factors of both numbers and list the highest common factor.
The factors of 6580 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 47, 70, 94, 140, 188, 235, 329, 470, 658, 940, 1316, 1645, 3290, 6580
The factors of 3145 are 1, 5, 17, 37, 85, 185, 629, 3145
The HCF of 6580,3145 is 5.
Lets's calculate GCF of 6580,3145
| 5 | 6580, 3145 |
| 1316, 629 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 6580,3145 By Matching Biggest Common Factor Method
Now, list down the factors of 6580
:1,2,4,5,7,10,14,20,28,35,47,70,94,140,188,235,329,470,658,940,1316,1645,3290,6580
Now, list down the factors of 3145
:1,5,17,37,85,185,629,3145
Greatest Common Factor
We found the factors 6580,3145 . The biggest common factor number is the GCF number.
So the greatest common factor 6580,3145 is 5.
Lets's calculate LCM of 545,4977
Given numbers has no common factors except 1. So, there LCM is their product i.e 2712465
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2712465
Therefore, the GCF of Fractions 6580/545,3145/4977 is 5/2712465
Least Common Multiple of 545,4977 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 545,4977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(545,4977) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(545,4977) x common factors =1 x 1 = 1
LCM(545,4977) = ( 545 × 4977 ) / 1
LCM(545,4977) = 2712465 / 1
LCM(545,4977) = 2712465
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FAQs on GCF of Fractions of 6580/545, 3145/4977
1. What is the HCF of 6580,3145?
The HCF of 6580,3145 is 5
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 6580/545, 3145/4977?
Answer: GCF of Numerators as per given numbers 6580/545, 3145/4977 is
GCF of Numerators i.e. for 6580,3145 is 5
LCM of denominators i.e. for 545,4977 is 2712465.
Thus, GCF of Fractions is 5/2712465.Finally, GCF of Fractions for 6580/545, 3145/4977 is 5/2712465.